296273725440 has 1152 divisors, whose sum is σ = 1246324060800. Its totient is φ = 59344158720.

The previous prime is 296273725421. The next prime is 296273725441. The reversal of 296273725440 is 44527372692.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (296273725441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 480184012 + ... + 480184628.

It is an arithmetic number, because the mean of its divisors is an integer number (1081878525).

Almost surely, 2^296273725440 is an apocalyptic number.

296273725440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 296273725440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623162030400).

296273725440 is an abundant number, since it is smaller than the sum of its proper divisors (950050335360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

296273725440 is a wasteful number, since it uses less digits than its factorization.

296273725440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 51.

The spelling of 296273725440 in words is "two hundred ninety-six billion, two hundred seventy-three million, seven hundred twenty-five thousand, four hundred forty".